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12279904 = 257134217
BaseRepresentation
bin101110110110…
…000001100000
3212002212212021
4232312001200
511120424104
61115111224
7206243320
oct56660140
925085767
1012279904
116a2808a
124142514
13270c520
1418b9280
151128754
hexbb6060

12279904 has 48 divisors (see below), whose sum is σ = 29762208. Its totient is φ = 4856832.

The previous prime is 12279901. The next prime is 12279919. The reversal of 12279904 is 40997221.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12279904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12279901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 804 + ... + 5020.

It is an arithmetic number, because the mean of its divisors is an integer number (620046).

Almost surely, 212279904 is an apocalyptic number.

12279904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12279904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14881104).

12279904 is an abundant number, since it is smaller than the sum of its proper divisors (17482304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12279904 is a wasteful number, since it uses less digits than its factorization.

12279904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4247 (or 4239 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 12279904 is about 3504.2693960368. The cubic root of 12279904 is about 230.7092410677.

The spelling of 12279904 in words is "twelve million, two hundred seventy-nine thousand, nine hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 4217 8434 16868 29519 33736 54821 59038 67472 109642 118076 134944 219284 236152 383747 438568 472304 767494 877136 944608 1534988 1754272 3069976 6139952 12279904